Phase structure of four dimensional simplicial quantum gravity

S. Catterall; J. Kogut; R. Renken

doi:10.1016/0370-2693(94)91480-X

Phase structure of four dimensional simplicial quantum gravity

S. Catterall, J. Kogut, R. Renken

Research output: Contribution to journal › Article › peer-review

72 Scopus citations

Abstract

We present the results of a high statistics Monte Carlo study of a model for four dimensional euclidean quantum gravity based on summing over triangulations. We show evidence for two phases; in one there is a logarithmic scaling of the mean linear extent with volume, whilst the other exhibits power law behaviour with exponent 1 2. We are able to extract a finite size scaling exponent governing the growth of the susceptibility peak.

Original language	English (US)
Pages (from-to)	277-283
Number of pages	7
Journal	Physics Letters B
Volume	328
Issue number	3-4
DOIs	https://doi.org/10.1016/0370-2693(94)91480-X
State	Published - Jun 2 1994
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0370-2693(94)91480-X

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title = "Phase structure of four dimensional simplicial quantum gravity",

abstract = "We present the results of a high statistics Monte Carlo study of a model for four dimensional euclidean quantum gravity based on summing over triangulations. We show evidence for two phases; in one there is a logarithmic scaling of the mean linear extent with volume, whilst the other exhibits power law behaviour with exponent 1 2. We are able to extract a finite size scaling exponent governing the growth of the susceptibility peak.",

author = "S. Catterall and J. Kogut and R. Renken",

note = "Funding Information: This work was supported, in part, by NSF grant PHY 92-00148. Some calculations were performed on the Florida State University Cray YMP.",

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doi = "10.1016/0370-2693(94)91480-X",

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T1 - Phase structure of four dimensional simplicial quantum gravity

AU - Catterall, S.

AU - Kogut, J.

AU - Renken, R.

N1 - Funding Information: This work was supported, in part, by NSF grant PHY 92-00148. Some calculations were performed on the Florida State University Cray YMP.

PY - 1994/6/2

Y1 - 1994/6/2

N2 - We present the results of a high statistics Monte Carlo study of a model for four dimensional euclidean quantum gravity based on summing over triangulations. We show evidence for two phases; in one there is a logarithmic scaling of the mean linear extent with volume, whilst the other exhibits power law behaviour with exponent 1 2. We are able to extract a finite size scaling exponent governing the growth of the susceptibility peak.

AB - We present the results of a high statistics Monte Carlo study of a model for four dimensional euclidean quantum gravity based on summing over triangulations. We show evidence for two phases; in one there is a logarithmic scaling of the mean linear extent with volume, whilst the other exhibits power law behaviour with exponent 1 2. We are able to extract a finite size scaling exponent governing the growth of the susceptibility peak.

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U2 - 10.1016/0370-2693(94)91480-X

DO - 10.1016/0370-2693(94)91480-X

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VL - 328

SP - 277

EP - 283

JO - Physics Letters B

JF - Physics Letters B

IS - 3-4

ER -

Phase structure of four dimensional simplicial quantum gravity

Abstract

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